Lumps of plasma in arbitrary dimensions

Abstract

We use the AdS/CFT correspondence in a regime in which the field theory reduces to fluid dynamics to construct an infinite class of new black objects in Scherk-Schwarz compactified AdSd+2 space. Our configurations are dual to black objects that generalize black rings and have horizon topology Sd−nTn for \( n \leq \frac{{d - 1}}{2} \). Locally our fluid configurations are plasma sheets that curve around into tori whose radii are large compared to the thickness of the sheets (the ratio of these radii constitutes a small parameter that permits the perturbative construction of these configurations). These toroidal configurations are stabilized by angular momentum. We study solutions whose dual horizon topologies are S3 × S1, S4 × S1 and S3 × T2 in detail; in particular we investigate the thermodynamic properties of these objects. We also present a formal general construction of the most general stationary configuration of fluids with boundaries that solve the d dimensional relativistic Navier-Stokes equation.